CCSS.Math.Content.HSF-LE.A
The standard
Construct and compare linear, quadratic, and exponential models and solve problems
Common Core State Standards for Mathematics · High School — Functions
What this standard means
Students need to choose a model type from a situation, table, graph, or description. They should build equations, use them to answer questions, and explain why linear, quadratic, or exponential growth fits best.
Mastery looks like comparing rates of change, spotting constant differences, second differences, or common ratios, and using the model in context. Students often mix up exponential and quadratic growth, trust a graph without checking values, or write equations with the wrong starting value.
Ways to teach it
- Give groups three data cards, savings account, falling ball, and phone plan, then have them match each to a linear, quadratic, or exponential equation.
- Ask students to write: How can a table prove a model is not linear, even if the graph looks almost straight?
- Use an exit ticket with one table and ask for the model type, equation, and one predicted value.
- Compare used car value, viral video views, and garden area to show how different models appear in everyday decisions.
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Related standards
- CCSS.Math.Content.HSF-LE.A.1
Distinguish between situations that can be modeled with linear functions and with exponential functions.
- CCSS.Math.Content.HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rati...
- CCSS.Math.Content.8.EE.C.8c
Solve real-world and mathematical problems leading to two linear equations in two variables.
- CCSS.Math.Content.HSF-LE.A.2
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pa...